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Finding the Fourth Proportional to 234.17, 350.37 and 176.20

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Solution

The fourth proportional to 234.17, 350.37 and 176.20 is: 263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.17 : 350.37 = 176.20 : x
  2. Step 2: Convert to fraction form
    234.17/350.37 = 176.20/x
  3. Step 3: Cross multiply
    234.17x = 350.37 × 176.20
  4. Step 4: Simplify right side
    234.17x = 61,733.44
  5. Step 5: Solve for x
    x = 61,733.44/234.17
  6. Step 6: Final answer
    x = 263.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.